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Finding the Fourth Proportional to 899.66, 1,349.22 and 466.58

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Solution

The fourth proportional to 899.66, 1,349.22 and 466.58 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.66 : 1,349.22 = 466.58 : x
  2. Step 2: Convert to fraction form
    899.66/1,349.22 = 466.58/x
  3. Step 3: Cross multiply
    899.66x = 1,349.22 × 466.58
  4. Step 4: Simplify right side
    899.66x = 629,524.19
  5. Step 5: Solve for x
    x = 629,524.19/899.66
  6. Step 6: Final answer
    x = 699.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.